Physics Circle home Student Login

Home›Chapters›Gravitation PYQs›Escape Velocity›Question 25

JEE Main 2023 (13 Apr, Shift 2) · Escape Velocity

Escape Velocity question from JEE Main 2023 (13 Apr, Shift 2)

Q25JEE Main 2023 · 13 APR · SHIFT 2Easy

Escape Velocity

Given below are two statements:

Statement I: For a planet, if the ratio of mass of the planet to its radius increases, the escape velocity from the planet also increases.

Statement II: Escape velocity is independent of the radius of the planet.

In the light of above statements, choose the most appropriate answer form the options given below

Show answer and solution

Answer: (b)

  1. ve=2GMRv_e = \sqrt{\frac{2GM}{R}}: larger MR\frac{M}{R} gives larger vev_e, so Statement I is correct.
  2. vev_e clearly depends on RR, so Statement II is incorrect.
  3. So the answer is (b).
Report a mistake

More questions on Escape Velocity